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Zeroes Of Polynomial

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA non-zero polynomial in one variable has degree 4. What is the maximum number of zeroes it can have?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(p(x)=x^2-2x-8\), what are the zeroes of \(p(x+3)\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf one zero of the polynomial \(p(x)=x^2+3x-18\) is \(3\), what is its other zero?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsWhich polynomial makes x=0 a zero?Class 10PolynomialsPolynomials in one variableLevel 48Easy MathematicsIf \(p(x)=x^2-25\), which of the following is the positive value of \(a\) for which \(p(a)=0\)?Class 10PolynomialsPolynomials in one variableLevel 48Hard MathematicsIf \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(x^2-11x+30\), what is the value of \((\alpha-\beta)^2\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsWhich of the following monic cubic polynomials has 0, 2, and −3 as its zeroes?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of the polynomial \(x^2-10x+q\) are \(2r\) and \(3r\), what is the value of \(q\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(3x^2+2x-1\), what is the value of \((\alpha+\beta)^2\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsFor the polynomial \(p(x)=2x^3-3x^2-11x+6\), a student finds that \(p(3)=0\) and concludes that \(x+3\) is a factor. What is the correct correction to the student's conclusion?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsWhat are the zeroes of the polynomial \(x^3-6x^2+11x-6\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the product of the zeroes of the polynomial \(p(x)=3x^2-10x+m\) is \(\frac{4}{3}\), what is the value of \(m\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the zeroes of the polynomial \(p(x)=x^2-(m+3)x+12\) are 3 and 4, what is the value of \(m\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(p(x)=x^2-9\), which of the following numbers is not a zero of \(p(x)\)?Class 10PolynomialsPolynomials in one variableLevel 47Medium MathematicsIf \(p(x)=36x^2-49\), what are the x-axis intersections of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsIf a graph intersects the x-axis at (-12, 0) and (-4, 0), which zero is greater?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsA table gives p(-4) = −2, p(-1) = 0, p(3) = 0, p(6) = 5. What is the product of the polynomial's zeroes from these values?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf the graph of a polynomial meets the x-axis at only one point, which is (6,0), what is the distinct real zero of the polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Easy